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LINEAR INEQUALITIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSLINEAR INEQUALITIES2 Marks
Question
Solve the inequality 3 (2 – x) $\ge$ 2 (1 – x) for real x.
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Answer

Here $3(2 - x) \geqslant 2(1 - x)$
$ \Rightarrow 6 - 3x \geqslant 2 - 2x$
$ \Rightarrow - 3x + 2x \geqslant 2 - 6$
$ \Rightarrow - x \leqslant - 4$
Dividing both sides by -1, we have
$\frac{{ - x}}{{ - 1}} < \frac{{ - 4}}{{ - 1}} \Rightarrow x \leqslant 4$
Thus the solution set is $\left( { - \infty ,4} \right]$.

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